Answer:

Step-by-step explanation:
Given
Let x represent the number of tickets, and p the charges

A reduction of 50c gives an increment of 50 tickets.
This gives:
---- 

Required
Determine the demand function
First, calculate the slope:




So, the equation is:




Hence, the function is:

We can see that 2x - 8x + x = -5x
and -6y + 11y = 5y
and 9 - 14 = -5
so simplified, it is -5x + 5y - 5
we know that
A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form
or 
Let
x-------> the pressure in PSI
y------> the volume of the gas in cubic inches
In this problem we have the point 
so

Find the constant k

substitute the values of x and y


the equation is

therefore
<u>the answer is</u>

Yes, this is a linear equation with a constant rate of change (a slope) so the sets of values of the graph are proportional